Search a number
-
+
4112138412 = 2232378273733
BaseRepresentation
bin1111010100011010…
…0100000010101100
3101121120201021102200
43311012210002230
531410201412122
61520013221500
7203621412504
oct36506440254
911546637380
104112138412
1118202164a8
12969191890
13506c251c5
142b01c4a04
151910265ac
hexf51a40ac

4112138412 has 72 divisors (see below), whose sum is σ = 10691278416. Its totient is φ = 1331697024.

The previous prime is 4112138377. The next prime is 4112138423. The reversal of 4112138412 is 2148312114.

4112138412 is a `hidden beast` number, since 4 + 112 + 138 + 412 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099698 + ... + 1103430.

It is an arithmetic number, because the mean of its divisors is an integer number (148489978).

Almost surely, 24112138412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112138412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345639208).

4112138412 is an abundant number, since it is smaller than the sum of its proper divisors (6579140004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4112138412 is a wasteful number, since it uses less digits than its factorization.

4112138412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4607 (or 4602 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 4112138412 is about 64125.9573963617. The cubic root of 4112138412 is about 1602.0986019444.

The spelling of 4112138412 in words is "four billion, one hundred twelve million, one hundred thirty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 827 1332 1654 2481 3308 3733 4962 7443 7466 9924 11199 14886 14932 22398 29772 30599 33597 44796 61198 67194 91797 122396 134388 138121 183594 275391 276242 367188 414363 550782 552484 828726 1101564 1243089 1657452 2486178 3087191 4972356 6174382 9261573 12348764 18523146 27784719 37046292 55569438 111138876 114226067 228452134 342678201 456904268 685356402 1028034603 1370712804 2056069206 4112138412